At 2017-06-25T02:40:52+0200, Ingo Schwarze wrote: > > But "gradient", by picking out one meaning of several > > (gradient, divergence, laplacian) > > I have never seen the "nabla" symbol used for "laplacian". > The Laplacian is the scalar product of the gradient with > itself, or equivalently, the divergence of the gradient. > The Laplacian is a scalar, while both "grad" and "div" are > first order tensors. > > So, for the Laplacian, we have > > \(*D = \(gr \(pc \(gr > > but the "nabla" symbol itself is never called "laplacian" > as far as i can tell.
The only conventions I've seen for the laplacian are "nabla squared" and (capital) "delta" (never spoken that way), i.e., turning the symbol upside down again. However, I am not formally trained in tensor analysis and have not seen a lot of its literature. Apart from that, I wanted to add my +1 to your proposal. Regards, Branden
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